Assume a person has a mass of 50.0kg and the Earth has a mass of 5.98 x 10^24kg. If the radius of Earth is given by 6.38 x 10^6m. a) find the gravitational force between the person and Earth
b) Find the weight of the person
c) how do these answers compare?

a) F =489.95 N

b) W = 490 N

c) both have same value

Explanation:

a)

The force of gravitation between two objects is given by Newton's Law of Gravitation. According to this law:

where,

F = Gravitational Force between the person and Earth = ?

G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ Nm²/kg²

m₁ = mass of peerson = 50 kg

m₂ = mass of earth = 5.98 x 10²⁴ kg

r = distance between person and earth = radius of earth = 6.38 x 10⁶ m

Therefore,

F = 489.95 N

b)

The weight of the person will be given as:

W = 490 N

c)

Both have same value

the moon affects the earth gravitation ally, causing certain motions of that body and also producing tides in its ocean and atmosphere. the tidal wave in our atmosphere is, however, far too minute to be an effective cause in any known meteorological phenomenon.

explanation: